Question

Able has a younger sister and an older brother. - Able's age can be represented by x. - Able's sister is 4 years younger than him. - Able's older brother is twice as old as he is. - The combined age of all three siblings is 32. How old is Able's younger sister?

Answer 1

Explanation:

Answer 2

Given:

Able's age can be represented by x.

Able's sister is 4 years younger than him.

Able's older brother is twice as old as he is.

The combined age of all three siblings is 32.

To find:

The age of Able's younger sister.

Solution:

Able's age can be represented by x.

Able's sister is 4 years younger than him.

Age of Able's sister = (x-4)

Able's older brother is twice as old as he is.

Age of Able's older brother = 2x

The combined age of all three siblings is 32.

`x+(x-4)+2x=32`

`4x-4=32`

Add 4 on both sides.

`4x=32+4`

`4x=36`

Divide both sides by 4.

`x=(36)/(4)`

`x=9`

The age of Able is 9 years. So, age of his younger sister is

`9-4=5`

Therefore, the age of Able's sister is 5 years.